Answer:
p
a
+
q
a
−
r
a
+
r
b
−
q
b
−
p
b
Regroup terms.
p
a
−
p
b
+
q
a
−
r
a
+
r
b
−
q
b
Factor
p
out of
p
a
−
p
b
.
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p
(
a
−
1
b
)
+
q
a
−
r
a
+
r
b
−
q
b
Rewrite
−
1
b
as
−
b
.
p
(
a
−
b
)
+
q
a
−
r
a
+
r
b
−
q
b
Factor out the greatest common factor from each group.
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p
(
a
−
b
)
+
a
(
q
−
r
)
−
b
(
−
r
+
q
)
Factor the polynomial by factoring out the greatest common factor,
q
−
r
.
p
(
a
−
b
)
+
(
q
−
r
)
(
a
−
b
)
Factor
a
−
b
out of
p
(
a
−
b
)
+
(
q
−
r
)
(
a
−
b
)
.
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(
a
−
b
)
(
p
+
q
−
r
)
Answer:
(x, y) = (3, 5)
Step-by-step explanation:
Solving by elimination here again, there are 2 good options available. Either multiply the whole bottom equation by -1 to cancel the x, or by 2 to cancel the y. I'll do the latter:
Add from top to bottom:
Now, with the value of x, solve for y in either of the equations. I'll choose the second one here:
(x, y) = (3, 5)
20/100 = 0.2
0.2 * 39.50 = 7.90
They should leave a $7.90 tip.
5/100 = 0.05
39.50 * 0.05 = 1.975 and rounds to 1.98
They should pay $1.98 in sales tax.
Answer: Um, The answer is 1, 12, –3.
Step-by-step explanation:
